Quadratic Functions Worded

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left

• horizontal shift left and vertical shift down

• horizontal shift right and vertical shift up

• horizontal shift up and vertical shift right

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

What is the range of this function?

• (- ∞,+∞)

• [0, +∞)

• [-2, +∞)

• [2, +∞)

Solve:
4x² = -4x -1

• x = -½

• x = -2

• x = 0

Find the missing value "c" to create a perfect square trinomial:
x² – 8x  + ___ 

• -4

• 16

• 4

• 8

• A
• B
• C
• D

Convert to vertex form:
f(x) = x² + 10x + 24

• f(x) = ( x - 5 )² + 1

• f(x) = ( x + 5 )² - 1

• f(x) = ( x - 5 )² - 1

• f(x) = ( x + 5 )² + 1

What is the y-intercept of this parabola?

• (6, 0)

• (-2, 0)

• (-4, -2)

• (0, 6)

What is the axis of symmetry of this parabola?

• -4

• x = -4

• x = -2

• y = -4

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

• g(x) = (x - 4)² - 2

• g(x) = (x + 4)² - 2

• g(x) = (x - 4)² + 2

• g(x) = (x + 4)² + 2